Polynomial approximation of an entire function of slow growth

DOI10.1016/0021-9045(81)90022-8zbMath0495.41005OpenAlexW2036974957MaRDI QIDQ1169628

G. P. Kapoor, Akhilesh Nautiyal

Publication date: 1981

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90022-8

zbMATH Keywords

entire function of slow growth

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (14)

Polynomial approximation of an entire function and rate of growth of Taylor coefficients ⋮ Generalized slow growth of special monogenic functions ⋮ Generalized growth and approximation of entire function solution of Helmholtz equation in Banach spaces ⋮ Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth ⋮ Unnamed Item ⋮ The degree of convergence of entire functions and generalized type ⋮ The generalized lower order of Dirichlet series ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Faber polynomial approximation of entire functions of slow growth over Jordan domains ⋮ Generalized order and type of entire functions and best approximation in \(L^p\)-norm ⋮ Generalized growth and best approximation of entire functions in \(L^p\) -norm in several complex variables ⋮ On the relation between maximum modulus, maximum term, and Taylor coefficients of an entire function ⋮ Approximation of entire functions over Carathéodory domains

Cites Work

• Polynomial approximation of an entire function and generalized orders
• On an extension of a result of S. N. Bernstein
• On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion
• Approximation of an entire function
• Approximation of an entire function
• Best polynomial approximation to certain entire functions
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